{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline --no-import-all"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using `poppy`'s ThinLens, ZernikeWFE, and ParameterizedWFE classes\n",
    "\n",
    "This notebook will show you three different ways to introduce defocus in your model optical system, as well as some of the additional flexibility afforded by the `ZernikeWFE` and `ParameterizedWFE` classes.\n",
    "\n",
    "First off, we import `poppy` and define some useful constants. We're going to use 460 nm light through a 1 meter circular aperture."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.8.0'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import poppy\n",
    "poppy.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "RADIUS = 1.0 # meters\n",
    "WAVELENGTH = 460e-9 # meters\n",
    "PIXSCALE = 0.01 # arcsec / pix\n",
    "FOV = 1 # arcsec\n",
    "NWAVES = 1.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing the PSF without any defocus\n",
    "\n",
    "This is just about the simplest optical system we can make. Light illuminates a circular pupil, and is imaged onto a detector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "osys = poppy.OpticalSystem()\n",
    "circular_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "osys.add_pupil(circular_aperture)\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "psf = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ahh, a nice Airy function. This is a monochromatic PSF at `WAVELENGTH` (460 nm).\n",
    "\n",
    "The `ThinLens` optic lets us introduce defocus specified as number of waves. One wave of defocus means that the maximum of the Airy disk becomes a minimum, with a lot of intensity pushed out into a \"donut\" around the center of the PSF.\n",
    "\n",
    "# Adding a Thin Lens\n",
    "\n",
    "Let's add a `ThinLens` in the code to create our optical system. We're going to use 1 wave of defocus, and the same reference wavelength as we're using to calculate our monochromatic psf."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "osys = poppy.OpticalSystem()\n",
    "circular_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "osys.add_pupil(circular_aperture)\n",
    "\n",
    "thinlens = poppy.ThinLens(nwaves=NWAVES, reference_wavelength=WAVELENGTH, radius=RADIUS)\n",
    "osys.add_pupil(thinlens)\n",
    "\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "psf = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Introducing defocus is just one type of aberration you might want to model. `ThinLens` is a separate class because it allows you to specify defocus in waves relative to a reference wavelength rather than RMS wavefront error. Both techniques are useful, but the specifications for JWST NIRCam are delivered in such a way that it makes sense to implement `ThinLens` in this way. (Just one artifact of POPPY's connection to JWST!)\n",
    "\n",
    "Let's get familiar with `ThinLens`'s big brother, `ZernikeWFE`.\n",
    "\n",
    "# Reproducing the ThinLens behavior with the ZernikeWFE\n",
    "\n",
    "ZernikeWFE lets us specify a sequence of scaling coefficients for the Zernike basis functions, which are then summed to make a model optical element in our `OpticalSystem` with that behavior. The sequence corresponds to the [Noll indexing convention](https://en.wikipedia.org/wiki/Zernike_polynomials#Zernike_polynomials) for 1-D Zernike polynomial indices. The first (or \"zeroth\") element of the sequence is the coefficient for $Z_{j=1}$, the second for $Z_{j=2}$, and so on.\n",
    "\n",
    "The Noll index for the defocus term, $Z_2^0$, is $Z_{j=4}$.\n",
    "\n",
    "Whereas `ThinLens` uses a number of waves, the scaling coefficients for `ZernikeWFE` are with respect to the normalized RMS wavefront error of 1.0 meters. That would be a huge optical path difference, so coefficients will typically be on the order of the wavelength (expressed in meters).\n",
    "\n",
    "The normalization of ZernikeWFE introduces a factor of $2 \\sqrt{3}$, so we calculate our coefficient as:\n",
    "\n",
    "$$k = \\frac{\\mathrm{N_{waves}} \\lambda}{2\\sqrt{3}} .$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "defocus_coefficient = NWAVES * WAVELENGTH / (2 * np.sqrt(3))\n",
    "coefficients_sequence = [0, 0, 0, defocus_coefficient]\n",
    "\n",
    "osys = poppy.OpticalSystem()\n",
    "circular_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "osys.add_pupil(circular_aperture)\n",
    "thinlens = poppy.ZernikeWFE(radius=RADIUS, coefficients=coefficients_sequence)\n",
    "osys.add_pupil(thinlens)\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "psf_with_zernikewfe = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare the two PSFs\n",
    "\n",
    "To ensure we've got agreement between the two methods, `poppy.display_psf_difference` will show any discrepancies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "poppy.display_psf_difference(psf, psf_with_zernikewfe, title='ThinLens vs. ZernikeWFE')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Adding some tilt and astigmatism"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "coefficients_sequence = [0, 0, 2e-7, defocus_coefficient, 0, 3e-8]\n",
    "\n",
    "osys = poppy.OpticalSystem(\"Testing Thin Lens w/ Zernike Module\")\n",
    "circular_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "osys.add_pupil(circular_aperture)\n",
    "thinlens = poppy.ZernikeWFE(radius=RADIUS, coefficients=coefficients_sequence)\n",
    "osys.add_pupil(thinlens)\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "psf_with_astigmatism = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Can we accomplish the same thing with `ParameterizedWFE`?\n",
    "\n",
    "`ParameterizedWFE` lets us specify optical aberrations in terms of a linear combination of basis functions evaluated over the pupil. This is more general than the `ZernikeWFE`, which specifies that you must use the Zernike basis functions to represent the distortion, but we can use `ParameterizedWFE` in an equivalent way if we wish.\n",
    "\n",
    "To specify which basis we want, we supply a `basis_factory` argument. This is a callable (e.g. a function) that gets keyword arguments `nterms` and `npix`, and returns an `nterms` by `npix` by `npix` array containing the first `nterms` terms evaluated over a pupil circumscribed by a circle of diameter `npix`.\n",
    "\n",
    "Two useful basis functions are provided in `poppy.zernike`: `zernike_basis` and `hexike_basis`. The `zernike_basis` allows us to provide equivalent functionality to `ZernikeWFE`, if we wish. Here's what that would look like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "osys = poppy.OpticalSystem()\n",
    "circular_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "osys.add_pupil(circular_aperture)\n",
    "thinlens = poppy.ParameterizedWFE(\n",
    "    coefficients=coefficients_sequence,\n",
    "    basis_factory=poppy.zernike.zernike_basis,\n",
    "    radius=RADIUS\n",
    ")\n",
    "osys.add_pupil(thinlens)\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "psf_with_parameterizedwfe = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What else is `ParameterizedWFE` good for?\n",
    "\n",
    "The ability to specify `basis_factory` means that we're not limited to Zernike polynomials. Suppose we have a telescope with a hexagonal pupil? The correct way to specify Zernike-like aberrations in an orthonormal basis on the unit hexagon is with \"hexikes\", a modified Zernike basis.\n",
    "\n",
    "Hexikes are computed by `poppy.zernike.hexike_basis`, which we pass in (along with the same coefficients as before) to get an idea of how the hexagon aperture changes things:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "osys = poppy.OpticalSystem()\n",
    "hex_aperture = poppy.HexagonAperture(side=RADIUS)\n",
    "osys.add_pupil(hex_aperture)\n",
    "thinlens = poppy.ParameterizedWFE(\n",
    "    coefficients=coefficients_sequence,\n",
    "    basis_factory=poppy.zernike.hexike_basis,\n",
    "    radius=RADIUS\n",
    ")\n",
    "osys.add_pupil(thinlens)\n",
    "osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "psf_with_hexikes = osys.calc_psf(wavelength=WAVELENGTH, display_intermediates=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scriptability of `ZernikeWFE`\n",
    "\n",
    "The API for `ZernikeWFE` also lends itself well to generating coefficients programmatically and passing it in. Say we have an error budget where we know the following about the RMS wavefront error in the Zernike components:\n",
    "\n",
    "  * **Piston**, *j=1* — disregarded for a telescope\n",
    "  * **Tilt X**, *j=2* — $\\pm$ 100 nm\n",
    "  * **Tilt Y**, *j=3* — $\\pm$ 100 nm\n",
    "  * **Focus**, *j=4* — $\\pm$ 50 nm\n",
    "  * **Astigmatism 45**, *j=5* — $\\pm$ 36 nm\n",
    "  * **Astigmatism 0**, *j=6* — $\\pm$ 36 nm\n",
    "\n",
    "We can use `ZernikeWFE` to generate a library of sample PSFs satisfying this error budget. First, we write a short function that can generate coefficients from our specifications."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "wfe_budget = [0, 100, 100, 50, 36, 36]\n",
    "\n",
    "def generate_coefficients(wfe_budget):\n",
    "    coefficients = []\n",
    "    for term in wfe_budget:\n",
    "        coefficients.append(\n",
    "            np.random.uniform(low=-1e-9 * term, high=1e-9 * term)  # convert nm to meters, get value in range\n",
    "        )\n",
    "    return coefficients"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use this to generate a few sets of coefficients."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "possible_coefficients = [generate_coefficients(wfe_budget) for i in range(5)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x144 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18,2))\n",
    "\n",
    "for idx, coefficient_set in enumerate(possible_coefficients, start=1):\n",
    "    plt.subplot(1, 5, idx)\n",
    "\n",
    "    osys = poppy.OpticalSystem()\n",
    "    hex_aperture = poppy.CircularAperture(radius=RADIUS)\n",
    "    osys.add_pupil(hex_aperture)\n",
    "    thinlens = poppy.ZernikeWFE(\n",
    "        coefficients=coefficient_set,\n",
    "        radius=RADIUS\n",
    "    )\n",
    "    osys.add_pupil(thinlens)\n",
    "    osys.add_detector(pixelscale=PIXSCALE, fov_arcsec=FOV)\n",
    "\n",
    "    psf = osys.calc_psf(wavelength=WAVELENGTH, display=False)\n",
    "    poppy.display_psf(psf, title=\"PSF #{}\".format(idx))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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